164320040 has 32 divisors (see below), whose sum is σ = 370500480. Its totient is φ = 65589312.

The previous prime is 164319989. The next prime is 164320049. The reversal of 164320040 is 40023461.

It is a happy number.

164320040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 164319994 and 164320021.

It is not an unprimeable number, because it can be changed into a prime (164320049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16037 + ... + 24203.

It is an arithmetic number, because the mean of its divisors is an integer number (11578140).

Almost surely, 2^164320040 is an apocalyptic number.

164320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164320040 is an abundant number, since it is smaller than the sum of its proper divisors (206180440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164320040 is a wasteful number, since it uses less digits than its factorization.

164320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 164320040 is about 12818.7378473858. The cubic root of 164320040 is about 547.7261938682.

The spelling of 164320040 in words is "one hundred sixty-four million, three hundred twenty thousand, forty".